Assume that when adult males are randomly selected, 21% do not require vision correction (based on data from a Vision Council survey). Suppose 8 adult males are randomly selected. Answer the following:

What is the probability that exactly two adult males in the sample do not require vision correction? Provide both the R command used and the answer.

What is the probability that half or fewer of the sample of adult males do not require vision correction? Provide both the R command used and the answer.

What is the probability that more than 75% of the sample of adult males do not require vision correction? Provide both the R command used and the answer.

Find the expected number of adult males in the sample who do not require vision correction.